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Finding the Third Proportional to 39,397 and 85,358

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Solution

The third proportional to 39,397 and 85,358 is: 184,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 85,358 = 85,358 : x
  2. Step 2: Convert to fraction form
    39,397/85,358 = 85,358/x
  3. Step 3: Cross multiply
    39,397x = 85,358 × 85,358
  4. Step 4: Simplify right side
    39,397x = 7,285,988,164
  5. Step 5: Solve for x
    x = 7,285,988,164/39,397
  6. Step 6: Final answer
    x = 184,937.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.